How can we connect artificial intelligence with cognitive psychology?
AI is already connected with cognitive psychology - there are dozens of AIs right this minute attempting to predict things like which Facebook posts you will like, and which ads you are most likely to click on. In other words, they are trying to predict how you think.

For more detailed info on this AI/cognitive science connection, there is some suggested reading on AITopics.org, such as Paul Thagard's summary of cognitive science.